Finite Group Databasebeta

← Group #11921681

Character table — Group #11921681

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order1222344666121222444436664888812123666121212121212888844122424242424448866121212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-11-1-11-1-111-1-111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-1-111-111-1-1-1-1-1-11
χ511111-1-1111-1-111-1-1111111-111-1-1111111-1-1-1-1-1-11111-11-111-1-1-1111-1-111-11-1-1-1
χ611111-1-1111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-11
χ711111-1-1111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-111-1-1-11111
χ811111-1-1111-1-1-1-111111111-1-1-111111111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-11-111-1
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000200200-1-100-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000-200-2001100110
χ1122222-2-2222-2-222-2-222-1-1-1-1-2000022-1-1-1-1111111000000-20000-200200-1-100110
χ1222222-2-2222-2-2-2-22222-1-1-1-1-2000022-1-1-1-1111111000000-20000200-2001100-1-10
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-100000000-1-1000
χ142222-122-1-1-1-1-100002222222-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-2-111110000000011000
χ152222-1-2-2-1-1-1110000222222-222-2-2-1-1-1-1-1-1-2-211110000-221-1-111000000001-1000
χ162222-1-2-2-1-1-1110000222222-2-2-222-1-1-1-1-1-1-2-2111100002-2111-1-100000000-11000
χ172-22-222i−2i-2-222i−2i2-22i−2i00-1-1110i2−i22−200-11-11i−iii−i−ii2i2−i2−i2000i2−i22−200002−21-100i−i0
χ182-22-222i−2i-2-222i−2i2-22i−2i00-1-1110−i2i2−2200-11-11i−iii−i−i−i2−i2i2i2000−i2i2−220000−221-100i−i0
χ192-22-222i−2i-2-222i−2i-22−2i2i00-1-1110i2−i22−200-11-11i−iii−i−i−i2−i2i2i2000i2−i22−20000−22-1100−ii0
χ202-22-222i−2i-2-222i−2i-22−2i2i00-1-1110−i2i2−2200-11-11i−iii−i−ii2i2−i2−i2000−i2i2−2200002−2-1100−ii0
χ212-22-22−2i2i-2-22−2i2i2-2−2i2i00-1-1110i2−i2−2200-11-11−ii−i−iiii2i2−i2−i2000i2−i2−220000−221-100−ii0
χ222-22-22−2i2i-2-22−2i2i2-2−2i2i00-1-1110−i2i22−200-11-11−ii−i−iii−i2−i2i2i2000−i2i22−200002−21-100−ii0
χ232-22-22−2i2i-2-22−2i2i-222i−2i00-1-1110i2−i2−2200-11-11−ii−i−iii−i2−i2i2i2000i2−i2−2200002−2-1100i−i0
χ242-22-22−2i2i-2-22−2i2i-222i−2i00-1-1110−i2i22−200-11-11−ii−i−iiii2i2−i2−i2000−i2i22−20000−22-1100i−i0
χ252-2-222002-2-20000002-22-2-22000002-222-2-20000002i−2i2i−2i000000002i−2i0000000000
χ262-2-222002-2-20000002-22-2-22000002-222-2-2000000−2i2i−2i2i00000000−2i2i0000000000
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-11100-1-100-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-1-111-1-1-10011001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-100-1-1001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-11-1-1111001100-1
χ3133333-3-3333-3-333-3-3-1-10000111-1-1-1-1000000000011111-1111-1-11-1-1-1-1-1001-1001
χ3233333-3-3333-3-333-3-3-1-100001-1-111-1-10000000000-1-1-1-1-111-1-111111-11100-1100-1
χ3333333-3-3333-3-3-3-333-1-10000111-1-1-1-10000000000-1-1-1-11-1111-1-1-111111001-100-1
χ3433333-3-3333-3-3-3-333-1-100001-1-111-1-100000000001111-111-1-111-1-1-11-1-100-11001
χ354444-244-2-2-2-2-2000044-2-2-2-240000-2-21111-2-21111000000-200000000000000000
χ364444-2-4-4-2-2-222000044-2-2-2-2-40000-2-2111122-1-1-1-1000000200000000000000000
χ3744-4-4400-44-400000000-22-220000000-222-200000022−22−222200000000000000000000
χ3844-4-4400-44-400000000-22-220000000-222-2000000−222222−2200000000000000000000
χ394-44-444i−4i-4-444i−4i4-44i−4i0011-1-100000001-11-1−ii−i−iii00000000000000000-1100−ii0
χ404-44-444i−4i-4-444i−4i-44−4i4i0011-1-100000001-11-1−ii−i−iii000000000000000001-100i−i0
χ414-44-44−4i4i-4-44−4i4i4-4−4i4i0011-1-100000001-11-1i−iii−i−i00000000000000000-1100i−i0
χ424-44-44−4i4i-4-44−4i4i-444i−4i0011-1-100000001-11-1i−iii−i−i000000000000000001-100−ii0
χ434-44-4-24i−4i22-2−2i2i000000-2-22202i2−2i222−22001-11-12i−2i−i−iii0000000−i2i2−220000000000000
χ444-44-4-24i−4i22-2−2i2i000000-2-2220−2i22i2−2222001-11-12i−2i−i−iii0000000i2−i22−20000000000000
χ454-44-4-2−4i4i22-22i−2i000000-2-22202i2−2i2−2222001-11-1−2i2iii−i−i0000000−i2i22−20000000000000
χ464-44-4-2−4i4i22-22i−2i000000-2-2220−2i22i222−22001-11-1−2i2iii−i−i0000000i2−i2−220000000000000
χ474-4-444004-4-40000004-4-222-2000004-4-2-222000000000000000000000000000000
χ484-4-44-200-2220000004-44-4-4400000-22-2-222000000000000000000000000000000
χ494-4-44-200-2220000004-4-222-200000-2211-1-1003i−3i3i−3i000000000000000000000000
χ504-4-44-200-2220000004-4-222-200000-2211-1-100−3i3i−3i3i000000000000000000000000
χ516666-366-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000000011000
χ526666-366-3-3-3-3-30000-2-20000-2-2-2-2-21100000000000000221111100000000-1-1000
χ536666-3-6-6-3-3-3330000-2-20000222-2-211000000000000002-2-1-1-11100000000-11000
χ546666-3-6-6-3-3-3330000-2-200002-2-2221100000000000000-22-111-1-1000000001-1000
χ556-6-666006-6-6000000-22000000000-2200000000002i−2i2i−2i00000000−2i2i0000000000
χ566-6-666006-6-6000000-22000000000-220000000000−2i2i−2i2i000000002i−2i0000000000
χ5788-8-8800-88-8000000002-22-200000002-2-22000000000000000000000000000000
χ5888-8-8-4004-44000000002-22-20000000-111-1003-3-33000000000000000000000000
χ5988-8-8-4004-44000000002-22-20000000-111-100-333-3000000000000000000000000
χ6088-8-8-4004-4400000000-44-4400000002-2-22000000000000000000000000000000
χ618-88-8-48i−8i44-4−4i4i00000022-2-20000000-11-11−2i2iii−i−i000000000000000000000000
χ628-88-8-4−8i8i44-44i−4i00000022-2-20000000-11-112i−2i−i−iii000000000000000000000000
χ6312-12-1212-600-666000000-440000000002-20000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).